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5. Questions in each section have been allotted different marks(s), which are indicated onthe right hand side of each question. You are required to answer questions from all sectionsand expected to maximize scores in each section.

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Section A - Verbal Ability and Logical Reasoning

1. Read the following sentences and choose the option that best arranges them in a logicalorder.

1. In law a fiduciary individual is someone who is entrusted with the power to act on behalf of andfor the benefit of another.

2. Following the weight of corporate law and legal precedent, the director primacy model positionsdirectors as autonomous fiduciaries, not agents.

3. The term fiduciary derives from the Latin fiducia, or trust, and the fiduciary is expected to act ingood faith and honesty for the beneficiary’s interests.

4. A person who accepts the role of fiduciary in law must single-mindedly pursue the interests ofhis or her beneficiary, in this case the corporation, even when the latter cannot monitor or controlthe fiduciary’s behaviour.

A. 3, 1, 4, 2B. 3, 4, 1, 2C. 2, 1, 3, 4D. 4, 2, 3, 1E. 2, 1, 4, 3 (2 Marks)

2. Perhaps this war will pass like the others which divided us,leaving us dead, killing us along with the killersbut the shame of this time puts its burning fingers to our faces.Who will erase the ruthlessness hidden in innocent blood?

Which of the following is certainly not implied in the above verse?

A. Killers also get killed in war.B. Humanity gets divided by war and reunites afterwards in peace.C. This war is especially ruthless.D. This war is shameful to the entire humanity.E. None can obliterate the ruthlessness of this war. (1 Mark)

Answer questions 3-4 on the basis of the following conversation between two friends,Paradox (P) and Herodox (H)

P: The human body is but the tomb of the soul and the visible world of matter is appearance thatmust be overcome if we are to know reality. The former is an integral part of “being”, that which canneither come into existence nor cease to exist for it always is. Being is unmoved and undisturbed.Motion and disturbance belong to the realm of “becoming”, the changing world of unreality ratherthan of “being” in which true reality resides. Further, motion & change by belonging to the realm of“becoming” by having no separate existence of their own are logically inconsistent with reality andhence. unworthy of serious study.

H: All things are in a state of perpetual flux. Permanence, and by extension, the concept of “being”is only an illusion. This change and continual transformation, through an often disorderly process ofconflict and survival of the fittest, is the underlying principle at work in the universe. It is from this

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principle that all things come into existence, and forms the basis for the morals and governancepatterns that attempt to preserve the social thread of societies. By extension, the study of humanactivity through the lens of an idealized state of “being” and as a basis for formulating moral codesof conduct is inappropriate at best.

3 Which of the following statements could be considered as logically consistent with the views ofParadox in the above paragraphs?i. A fly travelling on a flying arrow perceives it to be at rest. Therefore the flying arrow belongs to the

realm of being.ii. The activities of day to day life are concerned with the unreal part of human existence and

hence, should not be subject to moral standards.iii. Maintaining a balance among the various constituents of society is essential to the well-being

and the continuing existence of the soul.iv. Conflicts and the coming of spontaneous order do not have any underlying causes that are

relevant for study as the notion of perpetual flux itself is erroneous.v. The real is and cannot be non-existent. Further, reality is one and unique.

A. i onlyB. ii and ivC. iv and vD. i, ii. and iiiE. i, iv, and v (3 Marks)

4. Which of the following statements best represents an implication of Herodox’s ideas?

A. Religion and other approaches that stress on maintaining and developing the purity of the humansoul are subjects that do not merit serious attention.

B. The setting of moral standards and codes of governance have to be more procedure-orientedwith a focus on the way humans conduct themselves in their interactions with each other.

C. Maintaining a balance between various constituents of the society and conflict prevention isessential to the maintenance of social order and a pre-requisite for governance.

D. As the real world relevant to the existence of human beings is in a state of perpetual flux,attempting to study the same in a systematic manner would be meaningful despite reality itselfhaving changed by then.

E. There is no notion of time- space-invariant reality. There can be numerous realities both acrosstimes and across human cultures & civilizations. (2 Marks)

5. Travelling is my hobby. Today in the Himalayas, as I drag my feet through the _______, I cannot butthink of the same time last year when I was negotiating the thick _______of the Ganges delta or forthat matter the time I spent with my children _______ about in the waters of the Arabian Sea.

The option that best fill the blanks in the above sentence would be:

A. slush, sludge, sloshingB. sludge, slosh, slushingC. slush, slosh, sludgingD. slosh, sludge, slushingE. sludge, slush, sloshing (2 Marks)

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6. The author has _______ his composition to the best of his _______ ; yet listen to it with a sympathetic_______, O _______ souls, and judge it.

The options that best fill the blanks in the above sentence would be:

A. honed, insights, mind, distinguishedB. polished, intellect, mind, nobleC. polished, mind, intellect, nobleD. refined, ingenuity. heart, righteousE. refined, thoughts, heart, righteous (2 Marks)

Answer Questions 7-9 on the basis of the information below.

Five reviews of the recently published novel, Caught in a Blizzard, are reproduced below. The reviewsand the reviewers are identified as indicated by the letters.

A. This novel can change your life - for the good, as it has changed mine. It has made me reflectcritically about my life.

B. The novel has become a popular piece of literature, more among the youth than among the olderpopulation.

C. The author uses the plot in her novel to present her philosophy about life in a positive light, ratherthan relying on the merits of the philosophy per se.

D. The author is known to be a writer of great power. The intricate and captivating plots in her novelsshows that she has a subtle and ingenious mind.

E. People have been jolted out of their beliefs about love and other different aspects of life afterreading this novel.

The options to the questions 7- 9 are same as the reviews/ reviewers indicated above.

7. There has been criticism about reviewers that they write reviews after having a cursory reading of thebook in question. Based on the analysis of the different reviews, which reviewer is most likely tohave read the book in greater detail as compared to the other reviewers? (1 Mark)

8. Out the five reviews given, which one can be most objectively validated? (1 Mark)

9. Which reviewer eulogises the author rather than critically reviews the novel? (1 Mark)

10. Read the sentences and choose the option that best arranges them in a logical order.

a. Generally, it is unusual for a new problem in international relations to be considered without atthe same time some international organization being developed to deal with it.

b. International society has, in spite of the diversity of culture and political systems, beenprogressively drawn closer together and become more unified.

c. Despite the fears and concerns of some governments that international organizations areincreasing too fast and that they are a burden on their exchequers, they are still proliferating ata considerable rate.

d. People and their governments now look far beyond national frontiers and feel a commonresponsibility for the major problems of the world and for lesser problems that may subsistwithin smaller groups of states.

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e. More recently in the 1990s the problems of international trade, which was growing increasinglycomplex, led to the development of the WTO.

f. For instance, concern with the instability of commodities markets led to the establishment inthe 1980s of the Common Fund for Commodities and the competition for the newly discoveredwealth of the international seabed area resulted in the creation of the ISA under the Law of theSea Convention of 1982, based on the concept of ‘the common heritage of mankind’.

A. a,b,c,d,f,eB. b,e,d,c,f,aC. c,a,f,e,d,bD. c,a,f,e,b,dE. d,c,a,b,f,e (2 Marks)

11. As the information on air warfare tasks and stressors was being gathered and scenarios were beingdeveloped, a parallel effort ensued to identify a test bed simulation for air warfare teams. To maintainexperimental control, it was determined by the designers that choosing a low physical fidelitysimulation was acceptable as long as cognitive fidelity in a team simulation was maintained throughsubjecting soldiers to pressure situations in a simulated combat setting and attempting to ensurethat naturalistic decision making of soldiers would not be compromised.

Which of the following statements, if true, weakens the logic of the above passage?

i. A number of studies have shown that high levels of physical stress lead to a weakening of thedecision making capabilities of human beings.

ii. It has been convincingly demonstrated by various studies that human beings by nature are notdesigned to adapt to high levels of mental stress.

iii. Numerous studies have shown that simulated environments can be designed to be goodsubstitutes for real life combat situations.

iv. Studies have shown that simulated exercises for armed forces personnel have tended to inducea systematic type of “correct” and common behaviour among the trainees.

v. Officers, when short-listing soldiers for critical operations, pick up battle-hardened soldiers ratherthan those who have been trained through simulations.

A. i and iiB. ii and iiiC. i and ivD. i, ii, iv, and vE. ii, iii, iv and v (2 Marks)

12. Choose the odd one:

A. The balloon goes up : Spot fixing scandalB. In the altogether : Bath tubC. The halcyon days : ChildhoodD. The real McCoy : Darjeeling TeaE. Throw down the gauntlet : UN peace keeping force (3 Marks)

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13. In spite of being perceived as _______ by all, the club members decided to _______ Arun, askinny teenage with prominent _______, as the member of the year, so that the whole affair wouldbe _______ to Arun’s father who was recuperating after a serious illness.

The option that best fill the blanks in the above sentence would be:

A. felon, felicitate, freckles, febrileB. feral. facilitate, feckless, felicificC. federate, facilitate, freckles, feralD. febrile, felicitate, feckless, feralE. feckless, felicitate, freckles. felicific (3 Marks)

14 The motivation of human beings towards their work is a subject matter that is at once a simple aswell as an extremely complicated matter. For a long time, economists, sociologists, as well aspsychologists believed that a carrot and stick approach, with monetary incentives playing the role ofthe carrot, would be sufficient to goad employees towards achieving higher levels of performance.However, a number of recent studies and observations, especially dealing with the open sourcerevolution are placing on the table strong evidence suggesting that monetary incentives are only onepart of the entire story of motivation through incentives. In a study conducted by a group of researchersat MIT, it was found that monetary incentives work well only in respect of tasks requiring mechanicalskills i.e. those tasks not requiring much use of higher level cognitive abilities (such as memorizingor problem solving). In fact, their study showed that setting high monetary incentives for tasksrequiring cognitive abilities were more likely than not to produce adverse outcomes. Since thisresult flew straight in the face of the widely accepted body of knowledge on employee motivation,they conducted multiple experiments in different settings and countries to ensure that it was not aone-off result. The findings were the same in all repetitions of the experiment. These studies appearto suggest that monetary incentives need to be provided only to such an extent as to take the mindsof employee off the issue of money and focus on other issues that are necessary to get the job doneright. For instance, some experiments have shown that greater autonomy to employees and loweredinterference from management (and bosses) is successful in driving the performance of employeesworking in cognitive skill intensive jobs.

Identify the statement(s) that is (are) logically consistent with the content of the paragraph?

i. The carrot-stick approach essentially requires the use of rewards to get more of a desiredbehaviour whereas penalties lead to increased undesirable behaviour.

ii. Expending time and effort on the design of monetary incentives is a wasteful exercise.iii. The study by the group of MIT researchers was a flawed exercise from the start.iv. There appears to be a need to reorient the existing paradigm prevalent in incentive design.v. During the process of designing incentives, one should clearly delineate activities into those

requiring mechanical skills and those requiring higher-level cognitive skills and design withseparate sets of incentives and penalties for each.

A. i and ivB. i and vC. ii and iiiD. ii and ivE. iv and v (2 Marks)

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Answer Questions 15-16 on the basis of the paragraph below

We are not only afraid of being in the dark; we are also suspicious of being kept in the dark. Weoften feel that the universe has a hidden order that we cannot quite comprehend. In ancient times,this order was attributed to the gods-omnipotent beings who controlled humans’ fates. Greek mythsin particular portrayed humans as pawns in the great games played by the gods. More recently,there are suspicions of global conspiracies. These conspiracies are cited for events that are tooimportant to be random. We no longer describe them as “Acts of God,” so they must be the work ofother people-people who are hiding their influence over us, covering up their involvement. They arekeeping the rest of us in the dark. Among the events attributed to these people are politicalassassinations and UFO sightings. Examining these events in minute detail results in a long list of“coincidences” which, in the minds of the conspiracy buffs, are too numerous to be truly random.There must be a central planner who is at the hub of a sinister form of order. No one admits to theconspiracy, so there must be a cover-up. Better to think that we are all being kept in the dark bysinister forces than to admit that there is no order.

15. Which of the following statements, if true, would weaken the underlying logic of the abovepassage?

i. The human need for order is a highly exaggerated notion. It more often than not leads to creationof theories about the universe. The more sensational the theory, the more prevalent it becomes.

ii. The universe is less guided by pure randomness than by well-defined natural processes whichare subjected to randomness at varying intervals of time and space.

iii. To strengthen their case for a variety of conspiracies the conspiracy buffs are extrapolating froma very small set of observed “coincidences”.

iv. The persons propounding the different conspiracy theories are usually novelists who use thesetheories as a backdrop during the construction of the plots of the novels.

v. The human fear of being kept in the dark is much stronger than the fear of lack of order in theworkings of the universe.

A. i, ii and iiiB. i, ii and ivC. i, iii and ivD. i, iv and vE. ii, iv and v (2 Marks)

16. Which of the following statements would, if true, strengthen the case for belief in sinisterforces and conspiracies being at work in the above paragraph?

i. Though science has progressed a lot in the last two centuries or so, it is still unable to explain/account for more than 80% of the phenomena in the universe.

ii. There is now the existence of photographic evidence of presence of UFOs and a growing numberof parallel studies showing that the human mind can easily be manipulated to do someoneelse’s will through various events that manipulate the ‘perceived reality’.

iii. The fear of our actions and thoughts being controlled by someone else has intensified with thewidespread popularity of the depiction of its gory outcomes by different novelists and moviemakers.

iv. There is a strong movement to reintroduce the teachings of the biblical evolutionary process andthe presence of God in schools around the world.

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v. The Darwinian study of evolution of species, the cornerstone of beliefs in fathomable randomnessof the workings of the universe has come under a scathing attack for its inaccurate depiction ofthe causes and process of evolution.

A. i and ivB. i and vC. ii, iii and vD. i, ii and vE. ii, iii, and iv (3 Marks)

17. There is much difficulty _______ getting _______ this place and it is not possible to reach _______without the grace of the lord.

The option that best fills the blanks in the above sentence would be:

A. in; to; itB. to; to; itC. to; in; itD. in; in; inE. in; to; to (1 Mark)

18. Few sentences are given below continuously. Identify the best sequence of punctuations among thegiven options. (The rule of capitalization at the beginning of sentences has been ignored in thepassage given below). Note: the arrows in the options indicate text that would be within thepunctuations.

a persons frames of perception and action are narrow in early stages of development focused onsocial membership and technical competence the early life of organizations often is focused onsurvival and efficiency only later and rarely emphasizing process of learning and development howeverin later stages both individual and organization become more concerned with the learning processitself the way the perceptions and practices are articulated and revised in interactions and how morepeople can be engaged in mutual learning and inquiry

A. ‘ → • → • → • → •B. ‘ → • → , → • → , → , → •C. ‘ → . → , → . → , → .D. ‘ → , → • → , → • → • → , → •E. ’ → , → . → , → . → : → . (3 Marks)

19 Randomness has to be dealt with successfully to ensure a better control over one’s life. Before onecan deal effectively with randomness, one must acknowledge its existence. (3 Marks)

The above statements imply the following except:

A. Randomness can be dealt with effectively.B. If one acknowledges the existence of randomness, one will be able to deal with it effectively.C. One can deal effectively with randomness if and only if one acknowledges its existence.D. Everyone lives in a random world.E. If one does not acknowledge the existence of randomness, one cannot deal with it effectively.

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20. Choose the odd one:

A. Water :: Dirty :: CleanB. Battery :: Dead :: MusicC. Wood :: Burn :: FoodD. Juice :: Ferment :: WineE. Rain :: Thunder :: Hail (3 Marks)

Read the following discussion / passage and provide an appropriate answer for the questions21 through 24 that follow.

Of the several features of the Toyota Production System that have been widely studied, mostimportant is the mode of governance of the shop-floor at Toyota. Work and inter-relations betweenworkers are highly scripted in extremely detailed ‘operating procedures’ that have to be followedrigidly, without any deviation at Toyota. Despite such rule-bound rigidity, however, Toyota does notbecome a ‘command-control system’. It is able to retain the character of a learning organization.

In fact, many observers characterize it as a community of scientists carrying out several smallexperiments simultaneously. The design of the operating procedure is the key. Every principle mustfind an expression in the operating procedure - that is how it has an effect in the domain of action.Workers on the shop-floor, often in teams, design the ‘operating procedure’ jointly with the supervisorthrough a series of hypothesis that are proposed and validated or refuted through experiments inaction. The rigid and detailed ‘operating procedure’ specification throws up problems of the veryminute kind; while its resolution leads to a reframing of the procedure and specifications. This inter-temporal change (or flexibility) of the specification (or operating procedure) is done at the lowestlevel of the organization; i.e. closest to the site of action.

One implication of this arrangement is that system design can no longer be rationally optimal andstandardized across the organization. It is quite common to find different work norms in contiguousassembly lines, because each might have faced a different set of problems and devised differentcountermeasures to tackle it. Design of the coordinating process that essentially imposes thediscipline that is required in large-scale complex manufacturing systems is therefore customized tovariations in man-machine context of the site of action. It evolves through numerous points of negotiationthroughout the organization. It implies then that the higher levels of the hierarchy do not exercise thepower of the fiat in setting work rules, for such work rules are no longer a standard set across thewhole organization.

It might be interesting to go through the basic Toyota philosophy that underlies its system designingpractices. The notion of the ideal production system in Toyota embraces the following - ‘the abilityto deliver just-in-time (or on demand) a customer order in the exact specification demanded, in abatch size of one (and hence an infinite proliferation of variants, models and specifications), defect-free, without wastage of material, labour, energy or motion in a safe and (physically and emotionally)fulfilling production environment’. It did not embrace the concept of a standardized product that canbe cheap by giving up variations. Preserving consumption variety was seen, in fact, as one mode ofserving society. It is interesting to note that the articulation of the Toyota philosophy was madearound roughly the same time that the Fordist system was establishing itself in the US automotiveindustry.

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21. What can be best defended as the asset which Toyota model of production leverages to give thevast range of models in a defect-free fashion?

A. Large scale complex manufacturing systems.B. Intellectual capital of the company’s management.C. Loans taken by the company from banks and financial institutions.D. Ability of workers to evolve solutions to problems.E. Skill and charisma of the top leadership. (1 Mark)

22. Which of the following can be best defended as a pre-condition for the Toyota type of productionsystem to work?

A. Existence of workers’ union to protect worker’s rights.B. Existence of powerful management to create unique strategies.C. Cordial worker-management relations to have industrial peace.D. High management involvement towards problems identified by workers.E. Management’s faith in workers’ abilities to solve problems in a rigorous manner. (1 Mark)

23. Based on the above passage, which of the following statements is best justified?A. Workers have significant control rights over the design of work rules that allow worker skills and

ingenuity to continuously search for novel micro-solutions using information that often sticks tothe local micro-context of the work.

B. Managers have significant control rights over the design of work rules that allow worker skillsand ingenuity to continuously search for novel micro-solutions around micro-information thatoften sticks to the local micro-context of the work.

C. Work rules enable the workers to report problems faced at the shop-floor to specialised personnelwho set up experiments to replicate the condition. This allows the specialists to come up withsolutions that are rigorously tested in experimental conditions.

D. Toyota as an organization has extensive networks with different specialists who are subjectmatter experts in different fields. These networks allow problems to be resolved in the mostadvanced manner, enabling Toyota to beat the competition.

E. Toyota’s products are extensively tested by customers in simulated conditions before they arereleased to the market. This extensive testing is done by workers who double up as a communityof scientists experimenting to develop the most advanced product. (3 Marks)

24. What could be the best defence of the “different work norms in contiguous assembly lines”?A. Without such variations allowed, rights of manager to design work-rules would have made very I

little sense, making the company similar to Ford.B. Proscribing standardised work norms would prevent Toyota from benefiting from workers’ problem

solving ability in resolving different kinds of problems that emerge, thus making it difficult toattain the Toyota philosophy.

C. If similarities were imposed, rights of workers to experiment with work-rules would have madevery little sense.

D. Standardisation of work rules is only justified when the investments in plants are huge andexperimenting with the work rules would be detrimental to the efficiency of the plants. SinceToyota’s plants typically involved low investments, it could tolerate non standards work rules.

E. With standardization of processes, right of the workers in design of work-rules made sense.Toyota’s manufacturing processes were non- standardised, the different work norms did notmake sense. (4 Marks)

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25. Pick the odd one out:

A. wisdom; follyB. friendship; enmityC. often; seldomD. loyalty; treacheryE. devotion; loathing (3 Marks)

Analyse the following passage and provide appropriate answers for the questions 26 through29 that follow.

We can answer Fermi’s Paradox in two ways. Perhaps our current science over-estimates thelikelihood of extraterrestrial intelligence evolving. Or, perhaps, evolved technical intelligence hassome deep tendency to be self-limiting, even self-exterminating. After Hiroshima, some suggestedthat any aliens bright enough to make colonizing space ships would be bright enough to makethermonuclear bombs, and would use them on each other sooner or later.

I suggest a different, even darker solution to the Paradox. Basically, I think the aliens forget to sendradio signals or colonize space because they’re too busy with runaway consumerism and virtual-reality narcissism. Once they turn inwards to chase their shiny pennies of pleasure, they lose thecosmic plot.

The fundamental problem is that an evolved mind must pay attention to indirect cues of biologicalfitness, rather than tracking fitness itself. This was a key insight of evolutionary psychology in theearly 1990s; although evolution favours brains that tend to maximize fitness (as measured by numbersof great-grandkids), no brain has capacity enough to do so under every possible circumstance. Asa result, brains must evolve short-cuts: fitness-promoting tricks, cons, recipes and heuristics thatwork, on an average, under ancestrally normal conditions. Technology is fairly good at controllingexternal reality to promote real biological fitness, but it’s even better at delivering fake fitness-subjective cues of survival and reproduction without the real-world effects.

Fitness-faking technology tends to evolve much faster than our psychological resistance to it. Withthe invention of Xbox 360, people would rather playa high-resolution virtual ape in Peter Jackson’sKing Kong than be a perfect-resolution real human. Teens today must find their way through acarnival of addictively fitness-faking entertainment products. The traditional staples of .physical,mental and social development-athletics, homework, dating-are neglected. The few young peoplewith the self-control to pursue the meritocratic path often get distracted at the last minute.

Around 1900, most inventions concerned physical reality and in 2005 focus shifted to virtualentertainment. Freud’s pleasure principle triumphs over the reality principle. Today we narrow-casthuman-interest stories to each other, rather than broadcasting messages of universal peace andprogress to other star systems.

Maybe the bright aliens did the same. I suspect that a certain period of fitness-faking narcissism isinevitable after any intelligent life evolves. This is the Great Temptation for any technological species-to shape their subjective reality to provide the cues of survival and reproductive success without thesubstance. Most bright alien species probably go extinct gradually, allocating more time and resourcesto their pleasures, and less to their children.

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Heritable variation in personality might allow some lineages to resist the Great Temptation and lastlonger. Some individuals and families may start with an “irrational” Luddite abhorrence of entertainmenttechnology, and they may evolve ever more self-control, conscientiousness and pragmatism bycombining the family values of the religious right with the sustainability values of the Greenpeace.They wait patiently for our fitness-faking narcissism to go extinct. Those practical-minded breederswill inherit the Earth as like-minded aliens may have inherited a few other planets. When they finallyachieve contact, it will not be a meeting of novel-readers and game-players. It will be a meeting ofdead-serious super-parents who congratulate each other on surviving not just the Bomb, but theXbox.

26. Among the following options, which one represents the most important concern raised in the passage?

A. Extrateltestriallife and its impact on human beings.B. Lack of interest in developing proper fitness.C. Short-term pleasure seeking behaviour.D. Technological advancement and extinction of intelligence.E. Tendency of brain to develop shortcuts. (1 Mark)

27. Which among the following would be the best possible explanation for the lack of contact betweenhuman beings and aliens?

A. Overestimation of the technological capability of aliens.B. Genetic variation in aliens’ personality is not yet achieved.C. Thermonuclear bombs might have destroyed all aliens.D. Colonisation of space is impossible to achieve.E. Aliens have become self centred and pleasure seeking. (1 Mark)

28. To which of the following statements would the author of the passage agree the most? (3 Marks)

A. Violent crime, including gang warfare for turf protection and expansion, co-exists in alltechnological advanced societies in spite of proliferation of fitness-faking technologies.

B. The technology to produce fitness-faking gadgets is guided by the government’s desire to controlthe minds of citizens and keep citizens away from engaging in trouble-making activities.

C. Countries that have the most advanced technology often are the ones that are at the forefront ofcolonial expansion through wars.

D. Wars and colonial conquest engaged in by the European nations after the renaissance wouldnot have occurred had fitness-faking gadgets and consumerism existed in those countries duringthose times.

E. The search for colonies is undertaken by all the countries, irrespective of their technologicalexpansion. This colonial expansion is guided more by need for adventure than for resources.

29. Which of the following statements, if true, challenges the ideas presented in the passage the most?

I. Violent crime, including gang warfare for turf protection and expansion, co-exists in alltechnological advanced societies in spite of proliferation of fitness-faking technologies.

II. The technology to produce fitness-faking gadgets is guided by the government’s desire to controlthe minds of citizens and keep citizens away from engaging in trouble-making activities.

III. Countries that have the most advanced technology often are the ones that are at the forefront ofpreparedness for wars.

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IV. The era of colonial expansion that was engaged in by the European nations after the renaissancewould had never taken place had the technology to produce fitness-faking gadgets existedduring those times.

V. Teenagers having access to technology, engage in more socializing away from parental supervisionthan those who do not have access to such technology.

A. I &IIIB. II & IIIC. III & IVD. I, II, &VE. I, III & V (3 Marks)

30. Nature is ________ and unchangeable, and it is ________ as to whether its hidden reasons and________ are ________ to man or not.

The option that best fill the blanks in the above sentence would be:

A. relentless, indifferent, actions, understandableB. persistent, heartless, actions, comprehensibleC. inexorable, apathetic, activities, explicableD. harsh, indifferent, actions, understandableE. inescapable, unconcerned, activities, intelligible (1 Mark)

31. ________ you have a doubt, why not go and verify? I shall be waiting in the shade ________ thisbanyan tree till you come back ________ me.

The option that best fill the blanks in the above sentence would be:

A. if; under; onB. as; of; forC. as; of; atD. for; under; atE. if; of; to (1 Mark)

32. Media are not just passive channels of information. Not only do they supply the stuff of thought, butthey also shape the process of thought. And what the Internet seems to be doing is chipping awayour capacity for concentration. (1 Mark)

Which of the following, if true, would most strengthen the argument presented above?

A. Nietzsche was forced to use a typewriter when he started losing his vision. After he masteredthe machine, he could type with his eyes closed. It was later found that under the effect of themachine, Nietzsche’s prose “changed from arguments to aphorisms, from thoughts to puns,from rhetoric to telegram style”.

B. One of the effects of the timekeeping instruments has been that we have started deciding on ourdaily activities based on the clock and not based on our senses.

C. Studies have shown that the essay writing skills of an average 15 - 20 year old, who spends a lotof time browsing the Internet, is comparable to what it was among the average] 5-20 year old,throughout the] 980s and the 1990s.

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D. A recent study has shown that the number of people who fall asleep while reading a printed bookhas increased in the last five years.

E. The ability of the younger judges, who have grown up with ready access to Internet, to judgecomplex and intricate cases, has, on an average, become better as compared to what it was forjudges of comparable age profile during the 1920s.

33. Which of the following, if true, would most weaken the argument presented in the previous question?

A. Nietzsche was forced to use a typewriter when he started losing his vision. After he masteredthe machine, he could type with his eyes closed. It was later found that under the effect of themachine, Nietzsche’s prose “changed from arguments to aphorisms, from thoughts to puns,from rhetoric to telegram style”.

B. One of the effects of the timekeeping instruments has been that we have started deciding on ourdaily activities based on the clock and not based on our senses.

C. Studies have shown that the essay writing skills of an average 15 - 20 year old, who spends a lotof time browsing the Internet, is comparable to what it was among the average 15-20 year old,throughout the] 980s and the 1990s.

D. A recent study has shown that the number of people who fall asleep while reading a printed bookhas increased in the last five years.

E. The ability of the younger judges, who have grown up with ready access to Internet, to judgecomplex and intricate cases, has, on an average, become better as compared to what it wasduring the 1920s. (1 Mark)

34. Impressions are direct, vivid, and forceful products of immediate experience; ideas are merely feeblecopies of these original impressions.

Assuming the above statement is true, which of the statements logically follow from it?

I. Every impression leads to an idea.II. Ideas must follow an antecedent impression.III. The colour of the 2011 XAT test booklet right in front of a candidate is an impression to her,

whereas the memory of the colour of her television set is an idea.IV. If one was interested in origin of the idea of the colour of a television set, then one need to

understand the impressions from which this idea was derived.

A. I & IIIB. II & IIIC. II & IVD. II, III & IVE. I, II, III & IV (3 Marks)

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Section B - Analytical Reasoning and Decision Making

35. Indian government may hold top executives responsible if state-run power companies fail to meetperformance targets and punish them with fines and transfers. The strict performance parametersare aimed at ensuring that at least the reduced target for 62,000 MW of generation capacity additionis achieved before the end of the II th Plan, said a power ministry official. Performance of chairmenand managing directors of the power Public Sector Units (PSUs) in project implementation will beassessed as per the terms and conditions stipulated in the company’s memorandum of understanding(MoU) with the power ministry, he said, requesting anonymity. Performance parameters of executiveshad came under strict scrutiny due to a lack of progress in capacity addition program. While thetarget for the II th five year plan has already been scaled down by the government from 78,500 MW,in the first three years of the plan yielded only 22,302 MW of fresh capacity.

If you were the chairman of one of these power PSU’s, which of the following statements (all ofwhich are assumed to be true) could best be used in order to strengthen your case against thegovernment holding top executives responsible?

i. The labour unions, owing allegiance to ruling party at the Centre, are not allowing work toprogress with their demands for wage hikes that are untenable

ii. The actions of the mid-level management are not In line with the objectives laid down by the topmanagement

iii. The delays have been due to difficulties in obtaining funds at reasonable interest rates on accountof the recessionary conditions

iv. We are not to blame. The government is not doing enough to ensure availability of sufficient fuelto power the existing plants, let alone the new plants.

v. The government had ignored the infrastructure availability like roads etc., and environmentalclearances required for such projects and therefore set an unrealistic target to begin with, andthe revised target is also unrealistic as well.

A. i and iiB. i and iiiC. i, iii and ivD. ii,iv and vE. i, ii, iii, iv and v (3 Marks)

Answer Questions 36 - 37 on the basis of the paragraph below

The CEO of ABC Telecom Ltd. (ABC) is in a quandary since he received the telephone call in themorning from his counterpart at LMN Telecom Ltd. (LMN). Both companies were engaged in a bitterexperience a couple of years ago when they had attempted to merge with the intention of creatinga behemoth telecom company, possibly the largest in the world. The merger had fallen through dueto opportunistic behaviour on the part of Mr. Das, then CEO of LMN. During the time the mergertalks were taking place, Mr. Das had also approached a few other suitors for LMN in an attempt toforce ABC to pay a higher price. Further, there were reports of attempts by management of LM toscuttle the deal. Back then, ABC had also faced stiff opposition to the deal from one of its largeshareholders.

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Since then, a lot has changed for both companies. The bleak economic conditions due to recessionhad led to a drastic fall in the market value of both companies, with ABC comparatively losing muchmore in terms of market value. Raising money has become more difficult for both companies,especially for LMN. On the brighter side for ABC, the opposing shareholder had recently sold off hisstake to another investor who earlier had supported the original merger deal with LMN a couple ofyears ago.

36. Which of the following would be the most appropriate line(s) of thought for the CEO of ABC to adoptin response to the offer by LMN?

i. Once bitten twice shy. There is simply no way I can think of resuming talks with LMN after theirunethical behaviour the previous time around. I would rather spend my time on merger discussionswith other companies.

ii. The deal may make less business sense this time around. However, if it goes through, I willbecome the CEO of the world’s largest telecom company. So let us try our luck once more.

iii. I will resume talks only if they provide guarantees as to the reimbursement of our expensesincurred, in the event of the deal not materializing.

iv. Let me not be biased against dealing with LMN. If we can secure the deal at a reasonably lowprice, benefiting our shareholders, let us go ahead with it.

v. I am not sure if we can raise the money now. In any event, they are the ones facing greaterfinancial problems.

So let’s not hurry now. We might have an opportunity to buy them out at a cheaper price later.

A. i and iiiB. ii and ivC. ii and iiiD. i and ivE. iv and v (3 Marks)

37. The merger of ABC and LMN has been confirmed after detailed negotiation with LMN holding themajority share of the resultant entity. LMN has financed the merger by taking debt at higher-than-market interest rates from its bankers, in the hope that it would be able to streamline operations andreduce costs in the resultant entity which will allow it to repay the loan. If you were an investorlooking to invest in telecom companies, which of the following could be the strongest reasons forstaying away from investing in resultant entity?

A. The new entrants in the telecom market were coming with better offers for the customers.B. The market would be as competitive as ever for the resultant entity, thus providing no guarantee

for success.C. The combined management did present have any grand strategies to the investors.D. ABC’s management was giving in to Mr. Das who was a known opportunist.E. LMN was using high cost debt to purchase another company in the same industry facing similar

problems, with no visible advantage for the combined entity over competitors .. , (3 Marks)

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38. On 1st March, Timon arrived in a new city and was looking for a place to stay. He met a landladywho offered to rent her apartment at a reasonable price but wanted him to pay the rent on a dailybasis. Timon had a silver bar of 31 inches, and an inch of the silver bar was exactly equal to a day’srent. He agreed to pay an inch of the silver bar towards the daily rent. Timon wanted to make theminimum number of pieces of the silver bar but did not want to pay any advance rent. How manypieces did he make?A. 5B. 8C. 16D. 20E. 31 (3 Marks)

Read the following case and choose the best alternative (Questions 39 -42):

Chetan Textile Mills (CTM) had initiated various employee welfare schemes for its employees sincethe day the mill began its operations. Due to its various welfare initiatives and socially responsiblebusiness practices, the organization had developed an impeccable reputation. Majority of the regularworkers in Chetan Mills had membership of Chetan Mills Mazdoor Sangh (CMMS), a non politicaltrade union. CMMS had the welfare of its members as its guiding principle. Both CTM and CMMSaddressed various worker related issues on a proactive basis. As a result no industrial dispute hadbeen reported from the organization in the recent past.

These days majority of the employers deploy large number of contract labourers in their productionprocesses. In an open economy survival of an organization depends on its competitiveness. In orderto become competitive, an organization must be able to reduce cost and have flexibility in employmentof resources. Engaging workers through contractors (contract labourer) reduces the overall labourcost by almost 50%. Indian labour legislations make reduction of regular workers almost impossible,but organizations can overcome this limitation by employing contract labourers. Contract labourersneither get the same benefits as regular employees nor do they have any job security. According tovarious recent surveys, government owned public sector units and other departments are the biggestemployers of contract labourers in the country. Contractors, as middle-men, often exploit the contractlabourers, and these government organizations have failed to stop the exploitation.

Over time CTM started engaging a large number of contract labourers. At present, more than 35% ofCM’s workers (total 5,000 in number) are contract labourers. CMMS leadership was wary about theslow erosion of its support base as regular workers slowly got replaced by contract workers andfeared the day when regular workers would become a minority in the mill. So far, CMMS has refusedto take contract labourers as members.

Recently, based on rumours, CTM management started to investigate the alleged exploitation ofcontract labourers by certain contractors. Some contractors felt that such investigations may exposethem and reduce their profit margin. They instigated contract labourers to demand for better wages.Some of the contract labourers sought the support of various political parties in order to increasetheir negotiation power. Contract labourers engaged in material handling and cleaning work startedprovoking CTM management by adopting violent tactics.

Today’s news-paper reports that police and CTM security guards fired two or three rounds in air toquell the mob. The trouble started while a security guard allegedly slapped one of the contractlabourers following a heated argument. Angry labourers set fire to several vehicles parked inside thepremises, and to two police jeeps.

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39. In the wake of recent happenings, what decision is expected from CTM management? From thecombinations given below, choose the best sequence of action.

I. Stop the current investigations against the contractors to ensure industrial peace; after allallegations were based on rumours.

II. Continue investigations to expose exploitation and take strong actions against trouble makers.III. Get in direct touch with all contract labourers through all possible means, communicate the

need for current investigation to stop their exploitation, and convince them regarding CTM’ssituation due to competition. Also expose those contractors who are creating problems.

IV. Promise strong action against the security guards who are guilty. V. Increase the wages ofcontract labourers.

A. I, VB. I, IIC. II, VD. III, IVE. IlI, V (4 Marks)

40. In the current context, which among the following represent the most suitable reaction from CMMSleadership?

A. Distance CMMS from the episode and explain that CMMS is not involved in the fiasco through apress conference.

B. Offer membership to contract labourers, which would put the contract workers at par with theregular workers in CMMS.

C. Do not offer membership to contract labourers, but represent their interests during negotiation inorder to prevent the formation of another union in CTM.

D. Start another union exclusively for contract labourers of CTM.E. Adopt a neutral stand in public, and pass on information related to problem creators to the CTM

management. (5 Marks)

41. Out of the options given below, which one would be the best policy decision by government at thenational level? (2 Marks)

A. Asking CM management to pay same wages to both regular and contract workers.B. Income tax raids in offices of contractors under investigation.C. Setting up a new labour welfare office within CM premises.D. Setting up a new committee to make recommendations for changes in labour legislations with

an objective to reduce exploitation of contract labourers.E. Use entire government machinery to support CTM, which has an impeccable track record.

42. The criminals in the surrounding area often took their cue from the situation in the mill, creating lawand order problems outside the mill which would later make it difficult for workers to come to millsafely. Given the circumstances, identify the stakeholder that should be the immediate priority ofCTM management. (1 Mark)

A. Contract labourers who were allegedly beaten by the security guards of the company.B. District administration that is concerned about the spread of violence.C. CMMS that prefers an immediate settlement of the issue.D. Customers who are concerned about prices and regular supplies.E. Contract labourers who are demanding job security and same wages as regular employees.

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Answer question nos. 43 to 45 based on the following information:

Mrs. Sharma has a house which she wants to convert to a hostel and rent it out to students of anearby women’ s college. The house is a two storey building and each floor has eight rooms. Whenone looks from the outside, three rooms are found facing North, three found facing East, three foundfacing West and three found facing South. Expecting a certain number of students, Mrs. Sharmawanted to follow certain rules while giving the sixteen rooms on rent:

All sixteen rooms must be occupied.

No room can be occupied by more than three students.

Six rooms facing north is called north wing. Similarly six rooms facing east, west and south arecalled as east wing, west wing and south wing. Each corner room would be in more than one wing.Each of the wings must have exactly 11 students. The first floor must have twice as many studentsas the ground floor.

However, Mrs. Sharma found that three fewer students have come to rent the rooms. Still, Mrs.Sharma could manage to allocate the rooms according to the rules.

43. How many students turned up for renting the rooms?

A. 24B. 27C. 30D. 33E. None of the above (3 Marks)

44 . If Mrs. Sharma allocates the north-west corner room on the ground floor to 2 students, then thenumber of students in the corresponding room on the first floor, and the number of students in themiddle room in the first floor of the east wing are:

A. 2 and 1 respectivelyB. 3 and I respectivelyC. 3 and 2 respectivelyD. Both should have 3 studentsE. Such an arrangement is not possible. (2 Marks)

45. If all the students that Mrs. Sharma expected initially had come to rent the rooms, and if Mrs.Sharma had allocated the north-west comer room in the ground floor to 1 student, then the numberof students in the corresponding room on the first floor, and the number of students in the middleroom in the first floor of the east wing would have been:

A. 1 and 2 respectivelyB. 2 and 3 respectivelyC. 3 and 1 respectivelyD. Both should have 2 students.E. Such an arrangement is not possible. (2 Marks)

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Answer question nos. 46 to 48 based on the following information

Alex Company has its office at the third floor of a multi-storied building in Mumbai. There are 5rooms to be allotted to 5 managers (designated M1 to M5), each of whom will occupy one room.Each room has its own advantages and disadvantages. Some have the sea view, while others arecloser to either the lift or the dining room, while some are more spacious. Each of the five managerswas asked to rank the room preferences amongst the rooms 301, 302, 303, 304 and 305. Theirpreferences were recorded as follows:

Preference M1 M2 M3 M4 M51st 302 302 303 302 3012nd 303 304 301 305 3023rd 304 305 304 304 3054th 301 305 3035th 302

Some managers did not indicate any preference for some rooms, as they did want to be there underany condition. The company decided to allot rooms to managers in such a way that so that themanagers get rooms as per their best preference or close to that.

46. How many managers would get their rooms as per their best preference?

A. 1B. 2C. 3D. 4E. 5 (2 Marks)

47. If manager X gets his/her 1st choice, then his /her preference ranking is 1 and so on. Managementdecided to allot rooms so that the sum of the preference rankings of all the managers is minimized,What is the total preference ranking for the rooms allotted to all the managers?

A. 5B. 6C. 7D. 8E. 9 (3 Marks)

48. Suppose that Manager M2 decides not to join the new zonal office and Manager M6 takes his place.Manager M6 has the following preference ranking in decreasing order: 301,303,302,304 - in thiscase what would be the sum of the preference rankings allotted to all the five managers?

A. 5B. 6C. 7D. 8E. 9 (2 Marks)

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Answer question nos. 49 to 52 based on the following information:

In the country of Gagan, air travellers can buy their tickets either directly from the airlines or fromthree websites that are licensed to offer ticketing services online. In Gagan most of the commercialtransactions are done electronically, and all citizens have an account with its national bank CeeCee.As a result the three websites have become popular and each transaction through these websitescarries a surcharge of Gs. 250 (Gs. refers to Guppes, currency of Gagan). Given below are four postnew-year (January 2, 2011 to February 28, 2011) offers from three competing websites:

Cozy_travel Offer: Make a confirmed booking for any service (flight ticket, hotel or rail tickets)through Cozy_travel.com from December 5,2010 to February 8, 2011 and become eligible for twofree air tickets (offer is limited to the base fare). Free tickets have to be booked through onlinerequests from January 1, 2011 to February 28, 2011. The request for free tickets should be submittedat least twenty-one days in advance. Free tickets are non amendable (except the passenger name)and cannot be cancelled. Free tickets cannot be exchanged for cash or kind with anybody. Cozy_travelwill try its best to secure the free ticket as per the request. However, ticket confirmation is subjectto airline schedule and seat availability in airlines selected and finalized by Cozy_travel from specificavailable airlines.

Cool_yatra Offer: Book any air ticket of any airline on Cool_yatra.com on or after December 21,2010 and get your next ticket free. Under this offer, only the base fare of free ticket will be refundedby Cool_Yatra.com. Customers will have to bear rest of the charges (other fees and surcharges).The value of base fare will be refunded to passenger on/after March 1 or fifteen days after completionof travel on free ticket (whichever is later). The free ticket can be booked only on GagaAir flights. Thefree ticket must be booked within fifteen days of booking the original ticket and the travel date of freeticket must be fifteen days after the booking date of free ticket. There must be a seven day gapbetween the travel date of main/original ticket and the free ticket. The travel date of free ticket shouldbe on or before February 28, 2011. The free tickets cannot be transferred. On cancellation of theoriginal ticket(s), you no longer remain eligible for the free ticket(s).

Easy_travel Cash Back Offer: Easy travel offers 25% cash back on all air ticket bookings betweenDecember 5, 2010 and February 28, 2011 using CeeCee net banking services or its debit/creditcard. The cash back amount will be credited back to customers account within twenty-one daysfrom making the transaction. Maximum cash back during this period is Gs. 400 per person perticket and total amount that can be claimed by a customer is Gs. 2,400.

Ek Ke Sath Ek Offer from Easy_travel: Book an AirSpice ticket with Easy_travel using any credit/debit card, and get another ticket absolutely free. The free tickets will be issued on AirSpice on itsentire network. The offer is valid for sale from January 11,2011 to January 31, 2011. The free ticketmust be booked at least fifteen days prior to the date of travel and need to be completed within theoffer period. The promotion code for the free ticket will get activated only seven days after bookingthe main ticket. Easy_travel will charge a handling fee of Gs. 1000/- per person for any amendmentsmade on main ticket. Cancellations of tickets purchased under this offer are not permitted. The freetickets obtained under this offer can not be exchanged for cash and cannot be re-routed.

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49. Which offer has got the maximum chance for becoming the most popular among the air travellers ofGagan during post new-year period? Among the following options, choose the best offer-explanationcombination. (3 Marks)

A. Cozy _travel, because the customers will get twice the number of flights and the offer is applicablefor all services provided by Cozy_travel.

B. Cozy _travel, because it allows any customer to transfer the free tickets to anyone if they arenot interested in using it.

C. Ek ke sath ek offer from Easy _travel, because it offers absolutely free tickets to all customers.D. Cash Back offers from Easy_travel, because all other offers are restricted either in terms of

airlines to choose or the period of offer.E. Cozy_travel, because it allows customers to use free tickets even after post new-year period.

50. Suppose the offer from Cool_yatra became the most popular, and the other two agencies havesought help from business consultants to make their offers more attractive. Identify the bestrecommendation among the following. (3 Marks)

A. Recommendation for the Ek Ke Sath Ek Offer of Easy_travel: Negotiate with GagaAir to comeup with an offer that provides one free ticket for every main ticket booked in AirSpice.

B. Recommendation for the Cash Back Offer of Easy_travel: Ensure that cash back amount will becredited back to customer’s account within fifteen days.

C. Recommendation for the offer from Cozy_travel: Reduce the number of free tickets to one andapplicable only for air ticket booking (not for other services), but allow customers to book theirfree tickets from Cozy _travel. com in GagaAir or comparable airlines without any date restrictions.

D. Recommendation for the Ek Ke Sath Ek Offer of Easy_travel: Negotiate with GagaAir to comeup with an offer that provides one free ticket for every main ticket booked in GagaAir and run bothoffers simultaneously.

E. Recommendation for the offer from Cozy_travel: Do not allow customers to transfer tickets toothers, but disclose that Cozy _travel will consider both GagaAir and AirSpice flights that connectall cities in Gagan for issuing free tickets.

51. Jagan is appearing for MAAT exam on January 2, 2011, in a city which is not his home town and heis yet to book the air ticket to reach his hometown from MAAT centre. Based on his MAATperformance, he is confident about getting an interview call from the institute of his choice located inAkashpur. All institutes associated with MAAT will contact the short-listed candidates within nexttwo weeks with venue details and date of interview. Interviews will be scheduled within fifteen daysfrom the date of announcement of shortlist, and will be held at the respeclive institutes. Jagan’shometown, MAAT centre, and Akashpur are connected by all airlines and the base fares starts atGs. 1,000. While visiting Akashpur for the interview, Jagan will have to put up in a hotel. The minimumcharge for booking a hotel in Akashpur through Cozy-travel is Gs. 2,400. Equally good hotels whichare not listed in the Cozy _travel website charge Gs. 1,000. All the three travel websites assure aminimum of one free air ticket for every booking. If Jagan has no other reason to fly which one of thefollowing offers should Jagan go for? (3 Marks)

A. Ek Ke Sath Ek Offer of Easy_travelB. Get the flight ticket and hotel booking from Cozy _travel. He should use confirmed free ticket for

return journey and exchange extra tickets (if any) on barter basisC. Get the flight ticket through Cozy_travel, and use the second ticket if available for the return

journeyD. Get the flight ticket from Cool_yatraE. Get the flight ticket and hotel booking through Cozy_travel, and use free tickets for return journey

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52. Janaki needs to reach Khilli on January 28 to visit her uncle, and will return after fifteen days. Janakifound that the minimum fare for both the to and fro journeys is Gs. 5,000 which includes Gs. 1,200base fare. If all airlines connect Janaki’s city to Khilli, and all three offers (except the Cash BackOffer) ensure minimum of one free air ticket, which of the following should Janaki opt for?

A. Ek Ke Sath Ek Offer of Easy_travelB. Cash Back Offer of Easy_travelC. The Cozy_travel offerD. The Cool_yatra offerE. Buy air tickets directly from airline websites (3 Marks)

53. Wind turbine maker Leone Energy posted a net loss of Rs. 250 crore for the fourth quarter endedMarch 31, 2010 as against a net profit of ~ 350 crore in the same quarter a year-ago. In the financialyear 2009-10, the company clocked a gross income of Rs. 6,517 crore, as against Rs. 9,778 crorein the previous year. Leone Energy clocked a loss of Rs. 1100 crore in 2009-10, as against a netprofit of Rs. 320 crore in 2008-09. The sales revenues stood at Rs. 22,400 crore for the year,approximately 21 per cent less as against Rs. 28,350 crore last year. For the financial year endingMarch 31, 2010, Leone Energy’s sales volume (in terms of capacity of projects executed) was4,560 MW from 2,935 MW a year ago. The CEO of Leone Energy in his message to shareholderssuggested that the poor performance of the company was the result of adverse economic conditionsduring the year ended March 31,2010

You are a shareholder owning 5% of the shares of Leone Energy, have seen the stock price declineby more than 50% during the year 2009-10, and are quite upset with the way the management hasbeen handling the business. You have decided to confront the management at the next shareholders’meeting and have chosen the following 5 points to argue against the CEO’s version of the story. Inlight of the above paragraph, select the most appropriate order of these 5 statements that you, as adisappointed shareholder, should adopt as a stinging and robust preface in your case against themanagement in front of the management and other shareholders.

a The management is not doing its best to maintain the profitability of the company.b The company has actually increased its sales volume during the year under consideration.c The adverse economic conditions have led to a worldwide increase in the adoption of alternative

energy sources, reflecting in all-time highest profits for wind turbine makers in both developedand developing countries.

d The management has been lax with its employees as the management enjoys a large set ofbenefits from the company that they would have to forgo if they became strict with employees.

e The company is trying to increase sales by charging lower, unprofitable prices.

A. b,c,aB. a,c,bC. b,e,cD. c,b,eE. e,b,c (3 Marks)

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Answer question nos. 54 to 55 based on the following information

Every Saturday, the members of Raja Harish Chandra Club meet in the evening. All the members ofthe club are honest and never lie. Last Saturday, the following conversation was heard at one of thetables with five members sitting around it.

Satya Sadhan: In this club not all members are friends with each other. Satyabrata: None of the pairof friends in this club has any common friend.

Satyajit: Every pair of members who are not friends has exactly two common friends in this club.Satya Pramod: There are fewer than 22 people in this club.

54. How many members are there in the club?

A. 5B. 7C. 15D. 16E. 20 (5 Marks)

55. How many friends does Satya Sadhan have in the club?A. 2B. 3C. 5D. 7E. 8 (3 Marks)

Answer question nos. 56 to 58 based on the following information:

On a certain day six passengers from Chennai, Bengaluru, Kochi, Kolkata, Mumbai, and Hyderabadboarded the New Delhi bound Rajdhani Express from TataNagar. The following facts are knownabout these six passengers:

• The persons from Kochi and Chennai are less than 36 years of age.• Person Z, the youngest among all is a doctor.• The oldest person is from Kolkata and his/her profession is same as that of the person who got

down at Mughal Sarai.• The persons from Bengaluru, Chennai, Hyderabad and Mumbai got down at four different stations.

The eldest among these four got down at Koderma and the youngest at Kanpur. The person whogot down at New Delhi is older than the person who got down at Mughal Sarai.

• The engineer from Bengaluru is older than the engineer from Chennai.• While arranging the teachers in increasing order of age it was observed that the middle person

is as old as the engineer from Chennai.• Person Y who got down at Mughal Sarai is less than 34 years old.• The teacher from Kochi is four years older than the 31 year old doctor who is not from Mumbai.• In the past, three of the travellers have served in the Indian Army.

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56. Which of the following options is true?

A. The person from Chennai is older than the person from Kochi.B. The oldest teacher is from Mumbai.C. The person from Mumbai is older than at least one of the engineers.D. The person from Kochi got down at Mughal Sarai, and was an engineer.E. The person who got down at New Delhi is older than Y, who in turn is older than the person

from Hyderabad. (2 Marks)

57. All six travellers are working in the same organization for at least one year. The organization recruitstwo categories of employees - fresh graduates and those who have at least five years of experiencein the Indian Army. In both cases a new recruit should be less than 30 years of age. Among thetravellers from same profession, those with military background are at least five years older than thetravellers who joined as fresh graduates. Identify the travellers who joined the organization as freshgraduate(s):

A. Only YB. The person Y and the traveller from Chennai.C. The person Y and the travellers from Kochi and Hyderabad.D. The travellers from Kochi and Hyderabad.E. The teacher from Mumbai, the traveller from Kochi and the younger engineer. (2 Marks)

58. If W is neither the youngest nor the oldest among the travellers from her profession, which of thefollowing is true about her?

A. She got down at Koderrna.B. She is 36 years old.C. She got down at Mughal Sarai.D. She is from Kochi.E. None of the above (2 Marks)

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Section C– Data Interpretation and Quantitative Ability

Answer question nos. 59 to 60 based on the following information

Income upto Rs. 1,60,000/- Income upto Rs. 1,90,000/- NilRs. 1,60,001 to Rs. 3,00,000/- Rs. 1,90,001 to Rs. 3,00,000/- 10%

Rs. 3,00,001 to Rs. 5,00,000/- Rs. 3,00,001 to Rs. 5,00,000/- 20%Above Rs. 5,00,001 Above Rs. 5,00,001 30%

Income – Tax Rates for Financial Year 2009–10Individual & HUF below age

of 65 yearsWomen below age of

65 yearsTax Rates

Total income tax payable is obtained by adding two additional surcharges on calculated income tax.

� Education Cess: An additional surcharge called ‘Education Cess’ is levied at the rate of 2% onthe amount of income tax.

� Secondary and Higher Education Cess: An additional surcharge called ‘Secondary and HigherEducation Cess’ is levied at the rate of 1% on the amount of income tax.

59. Sangeeta is a young working lady. Towards the end of the financial year 2009 – 10, she found hertotal annual income to be Rs.3, 37, 425/-. What % of her income is payable as income tax?

A. 5.64B. 6.82C. 7.38D. 8.10E. None of the above (1 Mark)

60. Mr. Madan observed his tax deduction at source, done by his employer, as Rs. 3,17, 910/- . Whatwas his total income (in Rs.) if he neither has to pay any additional tax, nor is eligible for any refund?

A. 13, 48, 835/-B. 14, 45, 522/-C. 14, 47, 169/-D. 15, 70, 718/-E. None of the above (2 Marks)

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61. The scheduling officer for a local police department is trying to schedule additional patrol units ineach of two neighbourhoods – southern and northern. She knows that on any given day, theprobabilities of major crimes and minor crimes being committed in the northern neighbourhood were0.418 and 0.612, respectively, and that the corresponding probabilities in the southern neighbourhoodwere 0.355 and 0.520. Assuming that all crime occur independent of each other and likewise thatcrime in the two neighbourhoods are independent of each other, what is the probability that no crimeof either type is committed in either neighbourhood on any given day?

A. 0.069B. 0.225C. 0.690D. 0.775E. None of the above (2 Marks)

62. A 25 ft long ladder is placed against the wall with its base 7 ft the wall. The base of the ladder isdrawn out so that the top comes down by half the distance that the base is drawn out. This distanceis in the range:

A. (2, 7)B. (5, 8)C. (9, 10)D. (3, 7 )E. None of the above (2 Marks)

63. Let an = 1111111.....1, where 1 occurs n number of time. Then,

i. a741 is not a prime.ii a534 is not a prime.iii a123 is not a prime.iv a77 is not a prime.

A. (i) is correct.B. (i) and (ii) are correct.C. (ii) and (iii) are correct.D. All of them are correct.E. None of them is correct. (5 Marks)

64. In a locality, there are ten houses in a row. On a particular night a thief planned to steal from threehouses of the locality. In how many ways can he plan such that no two of them are next to eachother?

A. 56B. 73C. 80D. 120E. None of the above (1 Mark)

XAT 2011Page 28

Answer question nos. 65 to 68 based on the following information.

The following graphs give annual data of Assets, Sales (as percentage of Assets) and Spending onCorporate Social Responsibility (CSR) (as percentage of Sales), of a company for the period 2004–2009.

Assets (Rs. Crore)

160150135

125110

100

020406080

100120140160180

2004 2005 2006 2007 2008 2009

Sales (% of Assets)

1.25

0.6

0.50.64 0.67

0.8

0

0.2

0.4

0.6

0.8

1

1.2

1.4

2004 2005 2006 2007 2008 2009

CSR Spending (% of sales)

1.59%

2.08%2.22%

2.50%

2.09%

1.67%

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%

3.00%

2004 2005 2006 2007 2008 2009

65. In which year was the increase in spending on CSR, vis–à–vis the previous year, the maximum?

A. 2005B. 2006C. 2007D. 2008E. 2009 (1 Mark)

66. Of the years indicated below, in which year was the ratio of CSR/ Assets the maximum?

A. 2004B. 2005C. 2006D. 2007E. 2008 (1 Mark)

XAT 2011 Page 29

67. What was the maximum value of spending on CSR activities in the period 2004 – 2009?

A. Rs.0.5 CroreB. Rs.1.0 CroreC. Rs.2.0 CroreD. Rs.3.0 CroreE. Rs.4.0 Crore (2 Marks)

68. In which year, did the spending on CSR (measured in Rs.) decline, as compared to previous year?

A. 2006B. 2007C. 2008D. 2009E. None of the above (2 Marks)

69. If 48x (9 4 5) [x] f= + = + , where [x] is defined as integral part of x and f is a fraction, then x(1–f)

equals–

A. 1B. Less than 1C. More than 1D. Between 1 and 2E. None of the above (5 Marks)

70. A straight line through point P of a triangle PQR intersects the side QR at the point S and circumcircleof the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of thefollowing is true?

A. (1/PS) + (1/ST) < 2/ (QS)(QR)

B. (1/PS) + (1/ST) < 4/QR

C. (1/PS) + (1/ST) > 1/ (QS)(QR)

D. (1/PS) + (1/ST) > 4/QRE. None of the above (3 Marks)

XAT 2011Page 30

Answer question nos. 71 to 72 based on the following information

A man standing on a boat south of a light house observes his shadow to be 24 meters long, asmeasured at the sea level. On sailing 300 meters eastwards, he finds his shadow as 30 meterslong, measured in a similar manner.The height of the man is 6 meters above sea level.

71. The height of the light house above the sea level is:

A. 90 metersB. 94 metersC. 96 metersD. 100 metersE. 106 meters (3 Marks)

72. What is the horizontal distance of the man from the light house in the second position?

A. 300 metersB. 400 metersC. 500 metersD. 600 metersE. None of the above (2 Marks)

73. There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave thefactory, he is informed that two of the four machines are not working properly. The mechanic is in ahurry, and decides that he will identify the two faulty machines before going home, and repair themnext morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8 : 32 pm.If it takes six minutes to identify whether a machine is defective or not, and if he decides to checkthe machines at random, what is the probability that the mechanic will be able to catch the lastbus?

A. 0B. 1/6C. 1/4D. 1/3E. 1 (2 Marks)

74. Little Pika who is five and half years old has just learnt addition. However, he does not know how tocarry. For example, he can add 14 and 5, but he does not know how to add 14 and 7. How manypairs of consecutive integers between 1000 and 2000 (both 1000 and 2000 included) can Little Pikaadd?

A. 150B. 155C. 156D. 258E. None of the above (2 Marks)

XAT 2011 Page 31

Answer question nos. 75 to 77 based on the following information.

Five years ago Maxam Glass Co. had estimated its staff requirements in the five levels in theirorganization as: Level–1: 55; Level–2: 65; Level–3: 225; Level–4: 255 & Level–5: 300. Over the yearsthe company had recruited people based on ad–hoc requirements, in the process also selectingex–defence service men and ex–policemen.The following graph shows actual staff strength at various levels as on date.

52 65

210

130

330

6 830 25

60

4 4 9 7 15

0

50

100

150

200

250

300

350

1 2 3 4 5

Organisational level

No

. of

po

siti

on

s o

ccu

pie

d

Total Employees

Ex-Defence Servicemen

Ex-Policemen

75. The level in which the Ex–Defence Servicemen are highest in percentage terms is:

A. 1B. 2C. 3D. 4E. 5 (1 Mark)

76. If the company decides to abolish all vacant posts at all levels, which level would incur the highestreduction in percentage terms?

A. 1B. 2C. 3D. 4E. 5 (1 Mark)

77. Among all levels, which level has the lowest representation of Ex–policemen?

A. 1B. 2C. 3D. 4E. 5 (1 Mark)

XAT 2011Page 32

78. The domain of the function f(x) = log7{log

3(log

5(20x–x2–91))} is:

A. (7, 13)B. (8, 12)C. (7, 12)D. (12, 13)E. None of the above (3 Marks)

Question Nos. 79 – 80 are followed by two statements labelled as I and II. Decide if thesestatements are sufficient to conclusively answer the question. Choose the appropriateanswer from the options given below:

A. Statement I alone is sufficient to answer the question.B. Statement II alone is sufficient to answer the question.C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to

answer the question.D. Either Statement I or Statement II alone is sufficient to answer the question.E. Neither Statement I nor Statement II is necessary to answer the question.

79. Let PQRS be a quadrilateral. Two circles O1 and O2 are inscribed in triangles PQR and PSRrespectively. Circle O1 touches PR at M and circle O2 touches PR at N. Find the length of MN.

I. A circle is inscribed in the quadrilateral PQRS.II. The radii of the circles O1 and O2 are 5 and 6 units respectively. (5 Marks)

80. Given below is an equation where the letters represent digits.

(PQ). (RQ) = XXX. Determine the sum of P + Q + R + X.I. X = 9.II. The digits are unique. (3 Marks)

XAT 2011 Page 33

Answer question nos. 81 – 84 based on the following information:

In the beginning of the year 2010, Mr. Sanyal had the option to invest Rs. 800000 in one or more ofthe following assets – gold, silver, US bonds, EU bonds, UK bonds and Japanese bonds. In order toinvest in US bonds, one must first convert his investible fund into US Dollars at the ongoing exchangerate. Similarly, if one wants to invest in EU bonds or UK bonds or Japanese bonds one must firstconvert his investible fund into Euro, British Pounds and Japanese Yen respectively at the ongoingexchange rates. Transactions were allowed only in the beginning of every month. Bullion Prices andExchange rates were fixed at the beginning of every month and remained unchanged throughoutthe month. Refer to the table titled “Bullion Prices and Exchange Rates in 2010” for the relevantdata.

Bullion Prices and Exchange Rates in 2010

Date Gold prices Silver prices US$ • £ ¥ Rs./ 10 grams Rs. / 10 grams Rs. / US$ Rs. / • Rs. / £ Rs. / ¥ January 1 20000 300 40 60 70 0.5 February 1 20100 302 41 61.5 71 0.51 March 1 20250 307 41 62 71 0.52 April 1 20330 310 42 62 71 0.52 May 1 20400 312 42 62.5 72 0.53 June 1 20500 318 42 62.5 72 0.54 July 1 20650 330 44 63 73 0.55 August 1 20720 335 45 63 73 0.55 September 1 20850 340 47 64 74 0.57 October 1 20920 342 49 65 74 0.58 November 1 20950 345 50 65 74.5 0.59 December 1 21000 350 50 65 75 0.6

Interest rates on US, EU, UK and Japanese bonds are 10%, 20%, 15% and 5% respectively.

81. Mr. Sanyal invested his entire fund in gold, US bonds and EU bonds in January 2010. He liquefiedhis assets on 31st August 2010 and gained 13% on his investments. If instead he had held hisassets for an additional month he would have gained 16.25%. Which of the following options iscorrect?

A. Mr. Sanyal invested less than 40% in gold and more than 40% in EU bonds.B. Mr. Sanyal invested less than 40% in each of gold and US bonds.C. Mr. Sanyal invested more than 40% in gold, less than 25% in US bonds.D. Mr. Sanyal invested more than 40% in gold, less than 25% in EU bonds.E. Mr. Sanyal invested more than 40% in each of US bonds and EU bonds. (3 Marks)

XAT 2011Page 34

82. At the beginning of every month, by sheer luck, Mr. Sanyal managed to correctly guess theasset that gave maximum return during that month and invested accordingly. If he liquefied hisassets on 31st December 2010, how much was the percentage gain from his investments?

A. 34.64%B. 46.71%C. 47.5%D. 49.15%E. 49.96% (2 Marks)

83. Mr. Sanyal adopted the following investment strategy. On 1st January 2010 he invested half of hisinvestible fund in gold and the other half he kept in fixed deposit of an Indian bank that offered 25%interest per annum. At the beginning of every quarter he liquefied his assets to create his investiblefund for that quarter. Every quarter he invested half of his fund in the bullion that gave maximumreturn in the previous quarter and the other half in the foreign bond that gave maximum return in theprevious quarter. However, if in any quarter none of the foreign bonds gave a better return than thefixed deposit of his Indian bank, he invested half of his investible fund in the fixed deposit for the nextquarter. On 31st December 2010 Mr. Sanyal liquefied his assets and realized that all of the followingoptions are true except:

A. By investing the entire amount in US bonds, he would have gained an additional Rs. 118395.B. By investing the entire amount in UK bonds, he would have gained an additional Rs. 65035.C. By investing the entire amount in EU bonds, he would have gained an additional Rs. 65035.D. By investing the entire amount in Japanese bonds, he would have gained an additional

Rs. 38395.E. By investing the entire amount in fixed deposit of his Indian bank he would have gained an

additional Rs.38395. (2 Marks)

84. Advisors were asked to prepare an investment strategy that involved US Bonds, EU Bonds andJapanese Bonds, keeping at least 20% of the initial fund in each of these assets for the entire year,and allowing exactly four additional transactions in the course of the year. On 2nd January 2011,while comparing five different recommendations that he had received from his financial advisors inthe beginning of 2010, Mr. Sanyal referred to the table “Bullion Prices and Exchange Rates in 2010”.One transaction is defined as the buying or selling of an asset. Which of the recommendation out ofthe following was the best one?

A. Two additional transactions each during the month of June and November.B. Two additional transactions each during the month of June and October.C. Two additional transactions each during the month of May and June.D. Two additional transactions each during the month of March and NovemberE. Two additional transactions each during the month of March and October. (3 Marks)

XAT 2011 Page 35

85. The football league of a certain country is played according to the following rules:• Each team plays exactly one game against each of the other teams.• The winning team of each game is awarded 1 point and the losing team gets 0 point.• If a match ends in a draw, both the teams get 1/2 point.

After the league was over, the teams were ranked according to the points that they earned at theend of the tournament. Analysis of the points table revealed the following:

• Exactly half of the points earned by each team were earned in games against the ten teamswhich finished at the bottom of the table.

• Each of the bottom ten teams earned half of their total points the other nine teams in the bottomten.

How many teams participated in the league?

A. 16B. 18C. 19D. 25E. 30 (3 Marks)

86. What is the maximum possible value of (21 Sin X + 72 Cos X)?

A. 21B. 57C. 63D. 75E. None of the above (3 Marks)

87. There are 240 second year students in a B-School. The Finance area offers 3 electives in thesecond year. These are Financial Derivatives, Behavioural Finance, and Security Analysis. Fourstudents have taken all the three electives, and 48 students have taken Financial Derivatives. Thereare twice as many students who study Financial Derivatives and Security Analysis but not BehaviouralFinance, as those who study both Financial Derivatives and Behavioural Finance but not SecurityAnalysis, and 4 times as many who study all the three. 124 students study Security Analysis.There are 59 students who could not muster courage to take up any of these subjects. The group ofstudents who study both Financial Derivatives and Security Analysis but not Behavioural Finance,is exactly the same as the group made up of students who study both Behavioural Finance andSecurity Analysis. How many students study Behavioural Finance only?

A. 29B. 30C. 32D. 35E None of the above options (2 Marks)

XAT 2011Page 36

88. In the country of Twenty, there are exactly twenty cities, and there is exactly one direct roadbetween any two cities. No two direct roads have an overlapping road segment. After the electiondates are announced, candidates from their respective cities start visiting the other cities. Followingare the rules that the election commission has laid down for the candidates:

• Each candidates must visit each of the other cities exactly once.• Each candidates must use only the direct roads between two cities for going from one city to

another.• The candidates must return to his own city at the end of the campaign.• No direct road between two cities would be used by more than one candidate.

The maximum possible number of candidates is

A. 5B. 6C. 7D. 8E. 9 (5 Marks)

89. In a city, there is a circular park. There are four points of entry into the park, namely – P, Q, R andS. Three paths were constructed which connected the points PQ, RS, and PS. The length of thepath PQ is 10 units, and the length of the path RS is 7 units. Later, the municipal corporationextended the paths PQ and RS past Q and R respectively, and they meet at a point T on the mainroad outside the park. The path from Q to T measures 8 units, and it was found that the angle PTS

is 60ο . Find the area (in square units) enclosed by the paths PT, TS, and PS.

A. 36 3

B. 54 3

C. 72 3

D. 90 3E. None of the above (2 Marks)

90. Prof. Bee noticed something peculiar while entering the quiz marks of his five students into aspreadsheet. The spreadsheet was programmed to calculate the average after each score wasentered. Prof. Bee entered the marks in a random order and noticed that after each mark wasentered, the average was always an integer. In ascending order, the marks of the students were 71,76, 80, 82 and 91. What were the fourth and fifth marks Prof. Bee entered?

A. 71 and 82B. 71 and 76C. 71 and 80D. 76 and 80E. 91 and 80 (3 Marks)

XAT 2011 Page 37

91. Consider a square ABCD of side 60 cm. It contains arcs BD and AC drawn with centres at A and Drespectively. A circle is drawn such that it is tangent to side AB, and the arcs BD and AC. What isthe radius of the circle?

A. 9 cmB. 10 cmC. 12 cmD. 15 cmE. None of the above (5 Marks)

92. In a bank the account numbers are all 8 digit numbers, and they all start with the digit 2. So, anaccount number can be represented as 2x1x2x3x4x5x6x7.An account number is considered to be a‘magic’ number if x1x2x3 is exactly the same as x4x5x6 or x5x6x7 or both, xi can take values from 0 to9, but 2 followed by seven 0s is not a valid account number. What is the maximum possible numberof customers having a ‘magic’ account number?

A. 9989B. 19980C. 19989D. 19999E. 19990 (3 Marks)

93. In a list of 7 integers, one integer, as x is unknown. The other six integers are 20, 4, 10, 4, 8, and 4.If the mean, median, and mode of these seven integers are arranged in increasing order, they forman arithmetic progression. The sum of all possible values of x is

A. 26B. 32C. 34D. 38E. 40 (5 Marks)

94. Rakhal is looking for a field where he can graze his cow. He finds a local farmer, Gopal, who agreesto rent his field to Rakhal for Rs. 1000 a year. Rakhal finds a post in the field and ties his cow to thepost with a 25 feet rope. After some months, Gopal tells Rakhal that he will build a shed with fourwalls on the field with the post as one of the corner posts. The shed would be 15 feet by 10 feet.Rakhal agrees but he realizes that this arrangement would reduce the available area for grazing.What should be the modified rent to compensate for this loss of grazing area if Rakhal has to keepthe cow tied to the same post with the same rope?

A. Rs.800B. Rs.880C. Rs.888D. Rs.930E. None of the above (2 Marks)

XAT 2011Page 38

95. The micromanometer in a certain factory can measure the pressure inside the gas chamber from 1units to 999999 units. Lately this instrument has not been working properly. The problem with theinstrument is that it always skips the digit 5 and moves directly from 4 to 6. What is the actualpressure inside the gas chamber if the micromanometer displays 003016?

A. 2201B. 2202C. 2600D. 2960E. None of the above options (3 Marks)

Answer question nos. 96 – 97 based on the following information.

From a group of 545 contenders, a party has to select a leader. Even after holding a series ofmeetings, the politicians and the general body failed to reach a consensus. It was then proposedthat all 545 contenders be given a number from 1 to 545. Then they will be asked to stand on apodium in a circular arrangement, and counting would start from the contender numbered 1. Thecounting would be done in a clockwise fashion. The rule is that every alternate contender would beasked to step down as the counting continued, with the circle getting smaller and smaller, till onlyone person remains standing. Therefore the first person to be eliminated would be the contendernumber 2.

96. Which position should a contender choose if he has to be the leader?

A. 3B. 67C. 195D. 323E. 451 (5 Marks)

97. One of the contending politicians, Mr. Chanaya, was quite proficient in calculations and couldcorrectly figure out the exact position. He was the last person remaining in the circle. Sensing foulplay the politicians decided to repeat the game. However, this time, instead of removing everyalternate person, they agree on removing every 300th person from the circle. All other rules werekept intact. Mr. Chanaya did some quick calculations and found that for a group of 542 people theright position to become a leader would be 437. What is the right position for the whole group of 545as per the modified rule?

A. 3B. 194C. 249D. 437E. 543 (5 Marks)

XAT 2011 Page 39

Answer question nos. 98 – 100 based on the following information

Mulchand Textiles produce a single product of only one quality – waterproof synthetic fabric. Mr.Sharma, the cost accountant of Mulchand Textiles, estimated the cost of Mulchand Textiles fordifferent possible monthly output levels. Before he could tabulate his estimates his computer crashed.and Mr. Sharma lost all data. Fortunately he had some printouts of some incomplete tables, chartand diagrams. The table titled “Variable Cost Estimates of Mulchand Textiles” provided the estimatesof labour and material cost.

Output (Square feet) Labour cost (Rs.) Materia l cost (Rs.)

25000 21500 11050

50000 41500 22000

75000 60000 33000

100000 78000 44000

125000 95000 54750

150000 111000 65700

175000 133000 76650

200000 160000 88000

Variable Cost Estimates of Mulchand Textiles

Apart from labour and material costs Mulchand Textiles incurs administrative costs of Rs. 40,000per month, and electricity costs. Mr Sharma recalled that estimate data of variable electricity costhad certain peculiar characteristics. Values at every 25000 sq ft of output increased in geometricprogression till 150000 sq ft of output, after which values increased in arithmetic progression forevery 25000 sq ft of output. Mr. Sharma remembered that the electricity cost was estimated to beRs. 3800 for 25000 square feet of output, Rs. 5700 for 50000 square feet of output and Rs. 38856.50for 175000 square feet of output.

98. The estimated cost per square feet of output is least for:

A. 75000 square feet outputB. 100000 square feet outputC. 125000 square feet outputD. 150000 square feet outputE. 175000 square feet output (3 Marks)

XAT 2011Page 40

99. The estimated material cost given in the table titled “Variable Cost Estimates of Mulchand Textiles”included the cost of material that gets spoiled in the production process. Mr. Sharma decomposedthe estimated material cost into material spoilage cost and material usage cost, but he lost the datawhen his computer crashed. When he saw the following line diagram, he recalled that he measuredthe estimate of material spoilage cost per square feet of output on the y – axis and monthly outputon the x – axis. (3 Marks)

0.036

0.037

0.038

0.039

0.04

0.041

0.042

0.043

Estimated material usage cost per square feet of output–

A. decreases up to 125000 square feet of monthly output and then increases monotonically.B. decreases up to 50000 square feet of monthly output, remains constant between 50000 and

100000, decreases between 100000 and 125000, remains constant between 125000 and 175000and finally increases between 175000 and 200000 of montly output.

C. remains constant for all levels of monthly output.D. increases up to 50000 square feet of monthly output, remains constant between 50000 and

100000, increases between 100000 and 125000, remains constant between 12500 and 175000and finally decreases between 175000 and 200000 of monthly output.

E. increases up to 100000 square feet of monthly output and then decreases monotonically.

XAT 2011 Page 41

100. Mr. Sharma found some printouts of line diagrams. The axes of the graphs were not marked, but Mr.Sharma remembered that he measured monthly output on the x–axis. Which of the following diagramswould represent the estimates of electricity cost per square feet of output versus monthly output?

A

00.050.1

0.150.2

0.250.3

0.35 B

00.05

0.1

0.15

0.20.25

0.3

C

00.05

0.1

0.15

0.20.25

D

00.05

0.1

0.15

0.20.25

0.3

E

00.05

0.1

0.15

0.20.25

(3 Marks)

101. In a plane rectangular coordinate system, points L, M, N and O are represented by the coordinates(–5,0), (1, –1), (0, 5), and (–1,5) respectively. Consider a variable point P in the same plane. Theminimum value of PL + PM + PN + PO is

A. 1 37+

B. +5 2 2 10

C. 41 37+

D. 41 1+E. None of the above (2 Marks)